Post a New Question

CALCULUS DERIVATIVES CONTINUITY

posted by .

Let f be the function defined by the piecewise function:
f(x) = x^3 for x less than or equal to 0
x for x greater than 0
Which of the following is true?

a) f is an odd function
b) f is discontinuous at x=0
c) f has a relative maximum
d) f'(0) = 0
e) f'(x) > 0 for (x is not 0)

I strongly believe that a, b, and c are not the correct answer.

  • CALCULUS DERIVATIVES CONTINUITY -

    I think it would be e considering the fact that when you take the derivative, you get 3x^2 and 1, an when you input zero for both of these, there is a jump discontinuity. Is this right?

  • CALCULUS DERIVATIVES CONTINUITY -

    I agree with e

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Piecewise Function

    The following questions I don't understand, could you please help me?
  2. Algebra II

    I am doing the piecewise function x+3 if x is less than -2 x^2 if -2 is less than or equal to x which is less than 1, and finally, -x+2 if x is greater than one. The chart says that x x+3 (x,y) -3 0 -3,0 -2 1 -2,1 How come the three …
  3. Calculus (Continuity)

    If the following function is continuous, what is the value of a + b?
  4. Calculus (Continuity)

    If the following function is continuous, what is the value of a + b?
  5. math/calculus

    f(x)= the absolute value of x^2-6x-7 a) Find a piecewise defined function that has no absolute value involved b) Let g(x)=f(x) for x is greater than or equal to 7 find an expression of g^-1(x) c. give the domain and range of g^-1(x)
  6. math-calculus

    the absolute value function g(x) = |5-x| can be written as a piecewise function. the piecewise function which represents g(x) is this have to be g(x) = x-5 if x be greater to or equal to five. and the negative piece have to be 5-x. …
  7. Calculus

    flickr.(dotcom)/photos/77304025@N07/6782789880/ Create a function that closely gives the graph given below. The function may be a piecewise function but it does not necessarily have to be a piecewise function. a. Give a brief narrative …
  8. Calculus

    A function f(x) is continuous for all x and has a local minimum at (1,8). Which must be true?
  9. Calculus check

    A function f(x) is continuous for all x and has a local minimum at (1,8). Which must be true?
  10. Calculus

    Piecewise function problem. Let f(x)={ax^2+1/3, x is greater than or equal to 1; bx-10/3, x<1. If the function is differentiable, find the sum of a+b.

More Similar Questions

Post a New Question